4x-y-2=0或x=1
由题意,所求直线经过点A(2,3)和B(0,-5)的中点或与点A(2,3)和B(0,-5)所在直线平行,分别求出直线方程即可.
由题意,所求直线经过点(2,3)和(0,-5)的中点或与点(2,3)和(0,-5)所在直线平行.
1°直线经过点A(2,3)和B(0,-5)的中点(1,-1)时,直线方程为x=1;
2°当A(2,3),B(0,-5)在所求直线同侧时,所求直线与AB平行,
∵kAB=4,∴y-2=4(x-1),即4x-y-2=0
故答案为:4x-y-2=0或x=1.